λ
Ratio Atlas
Atlas › Integer Profiles › Node 32,330,157
32,330,157
3 × 23 × 29 × 107 × 151
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 23 × 29 × 107 × 151
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 47,278,080
Proper Divisor Sum 14,947,923
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #32330147 ← → #32330173

Radix Representation

Decimal 32330157
Binary 1111011010101000110101101 (25 bits)
Octal 0o173250655
Hexadecimal 0x1ED51AD

Divisor Catalog (32)

1 3 23 29 69 87 107 151 321 453 667 2,001 2,461 3,103 3,473 4,379 7,383 9,309 10,419 13,137 16,157 48,471 71,369 100,717 214,107 302,151 371,611 468,553 1,114,833 1,405,659 10,776,719 32,330,157

Collatz Trajectory (325 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

32,330,157 96,990,472 48,495,236 24,247,618 12,123,809 36,371,428 18,185,714 9,092,857 27,278,572 13,639,286 6,819,643 20,458,930 10,229,465 30,688,396 15,344,198 7,672,099 23,016,298 11,508,149 34,524,448 17,262,224 8,631,112 4,315,556 2,157,778 1,078,889 3,236,668 1,618,334 809,167 2,427,502 1,213,751 3,641,254 1,820,627 5,461,882 2,730,941 8,192,824 4,096,412 2,048,206 1,024,103 3,072,310 1,536,155 4,608,466 2,304,233 6,912,700 3,456,350 1,728,175 5,184,526 2,592,263 7,776,790 3,888,395 11,665,186 5,832,593 17,497,780 8,748,890 4,374,445 13,123,336 6,561,668 3,280,834 1,640,417 4,921,252 2,460,626 1,230,313

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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